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On m-point homogeneous polytopes in euclidean spaces

On m-point homogeneous polytopes in euclidean spaces

This paper is devoted to the study the m-point homogeneity property and the point homogeneity degree for finite metric spaces. Since the vertex sets of regular polytopes, as well as of some their generalizations, are homogeneous, we pay much attention to the study of the homogeneity properties of the vertex …